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On Borovkov's estimate in the invariance principle

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Publication:2279487
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DOI10.33048/semi.2019.16.125zbMath1427.60054OpenAlexW3015908317MaRDI QIDQ2279487

Aleksandr Ivanovich Sakhanenko

Publication date: 12 December 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.125

zbMATH Keywords

Lyapunov fractionProkhorov distanceestimates in invariance principletruncated Lyapunov fraction


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17)


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On the asymptotics of the probability to stay above a non-increasing boundary for a non-homogeneous compound renewal process, On the asymptotics of the distribution of the exit time beyond a non-increasing boundary for a compound renewal process



Cites Work

  • On the accuracy of normal approximation in the invariance principle
  • On the Rate of Convergence for the Invariance Principle
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